Paper Citation Record · LEDGER

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme

As of 14 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:1908.09462.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.09462 v2

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:35:46.027956Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

41 of 41 outbound references displayed

verified exact8
verified fuzzy16
unresolved17
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 57416a9d-fd79-4e4e-a4f0-16e7ac63bc9c · outbound

This paper cites Collective flow and viscosity in relativistic heavy-ion collisions.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Collective flow and viscosity in relativistic heavy-ion collisions

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T11:35:45.832498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b67c99bb-9d24-4c6a-ae26-308145c4b2c1 · outbound

This paper cites Hydrodynamic Modeling of Heavy-Ion Collisions.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Hydrodynamic Modeling of Heavy-Ion Collisions

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T11:35:45.838286Z

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Observation 0daee7a1-1b5f-41a2-a43e-a4deca695aca · outbound

This paper cites Relativistic Fluid Dynamics In and Out of Equilibrium -- Ten Years of Progress in Theory and Numerical Simulations of Nuclear Collisions.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Relativistic Fluid Dynamics In and Out of Equilibrium -- Ten Years of Progress in Theory and Numerical Simulations of Nuclear Collisions

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-14T11:35:45.842877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 189d4597-3bd0-43aa-9550-9e86e48140ec · outbound

This paper cites Bulk Viscous Cosmology.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Bulk Viscous Cosmology

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T11:35:45.847569Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a29cd9f-ab07-4ff1-809c-a91c60e026df · outbound

This paper cites Causal thermodynamics in relativity,.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Causal thermodynamics in relativity,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:35:47.061568Z

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Observation 7a28a785-356f-4437-919c-4d7bbee195d6 · outbound

This paper cites Ricci cosmology,.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Ricci cosmology,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:35:47.041772Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f35154ec-1ed2-4d80-afb3-a4b3af9e5821 · outbound

This paper cites The runaway instability of thick discs around black holes. I. The constant angular momentum case.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme The runaway instability of thick discs around black holes. I. The constant angular momentum case

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:35:46.380363Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation dad44a01-3950-40e4-b425-3454bc5520ba · outbound

This paper cites Euler, Principes generaux du mouvement des ﬂuides, Mem.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Euler, Principes generaux du mouvement des ﬂuides, Mem

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:35:47.017156Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 86e96185-9280-4aab-a06d-6bff2a626023 · outbound

This paper cites Navier, Memoire sur les lois du mouvement des ﬂuides, Mem.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Navier, Memoire sur les lois du mouvement des ﬂuides, Mem

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:35:46.994817Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b4ff74c9-0bc4-478f-a7f2-0316b0f96c10 · outbound

This paper cites Stokes, On the theories of the internal friction of ﬂuids in m otion, and of the equilibrium and motion of elastic solids, Trans.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Stokes, On the theories of the internal friction of ﬂuids in m otion, and of the equilibrium and motion of elastic solids, Trans

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:35:46.971997Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b9fd59cf-6246-483c-9887-eb273c03684e · outbound

This paper cites Eckart, Phys.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Eckart, Phys

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-14T11:35:45.883165Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f614dab-63d2-460e-887d-a346b0775826 · outbound

This paper cites Landau, and E.M.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Landau, and E.M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:35:46.936169Z

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Observation c7d37739-8122-442d-99eb-b26ca2c09fed · outbound

This paper cites Generic instabilities in ﬁrst order dis sipative relativistic ﬂuids.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Generic instabilities in ﬁrst order dis sipative relativistic ﬂuids

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:35:46.910915Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 672f1278-7ed7-4d0f-a753-b77f02cf4f89 · outbound

This paper cites Muller, Z.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Muller, Z

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:35:46.889243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 70672a3a-ac33-4f88-8862-b905c9999499 · outbound

This paper cites Non-stationary Irreversible Thermodynamics: a C ausal Relativistic Theory.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Non-stationary Irreversible Thermodynamics: a C ausal Relativistic Theory

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:35:46.868151Z

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Observation aeb5c2e9-1a01-4145-a42e-c1af75cbd7cc · outbound

This paper cites an unresolved cited work.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:35:46.846454Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 23dd5c55-5484-4b38-a7d4-cefc257e036f · outbound

This paper cites Relativistic viscous hydrodynamics, conformal invariance, and holography,.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Relativistic viscous hydrodynamics, conformal invariance, and holography,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:35:46.825588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 056f6012-eb99-4d64-9e12-7cf797d0154d · outbound

This paper cites New Developments in Relativistic Viscous Hydrodynamics.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme New Developments in Relativistic Viscous Hydrodynamics

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-14T11:35:45.921183Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d61b203a-e59d-4d0d-a649-5cda7758bf53 · outbound

This paper cites Causal theories of dissipative relativistic ﬂuid dyn amics for nuclear collisions,.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Causal theories of dissipative relativistic ﬂuid dyn amics for nuclear collisions,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:35:46.804837Z

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Observation 2efdc8f8-4eda-46b6-9dd3-c6ab98a91cdd · outbound

This paper cites Relativistic Viscous Fluid Dynamics and Non-Equilib rium Entropy,.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Relativistic Viscous Fluid Dynamics and Non-Equilib rium Entropy,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:35:46.782633Z

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Observation 14c227a5-e0a7-4faf-8d98-aa0b87131e44 · outbound

This paper cites Second Order Dissipative Fluid Dynamics for Ultra-Relativistic Nuclear Collisions.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Second Order Dissipative Fluid Dynamics for Ultra-Relativistic Nuclear Collisions

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T11:35:45.936138Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e40ae70-ae06-4e0e-93b8-fb97395ef0dc · outbound

This paper cites Fluid dynamics of R-charged black holes.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Fluid dynamics of R-charged black holes

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-14T11:35:45.940998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c660224b-140d-4ad4-8945-78e758d7e591 · outbound

This paper cites Kubo Formulae for Second-Order Hydrodynamic Coefficients.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Kubo Formulae for Second-Order Hydrodynamic Coefficients

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-14T11:35:45.945946Z

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Observation 94eb700e-af50-4fdf-a07f-c133fce928c1 · outbound

This paper cites Transport Coefficients of Gluon Plasma.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Transport Coefficients of Gluon Plasma

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-14T11:35:45.950739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af8c7746-e111-461d-84e3-45bdf6a333bd · outbound

This paper cites Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-14T11:35:45.955457Z

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Unavailable: canonical work link unavailable.

Observation d43fe69f-9c2a-4b53-b00f-ea0fd0c812b7 · outbound

This paper cites Determination of the Shear Viscosity Relaxation Time at Weak and Strong Coupling.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Determination of the Shear Viscosity Relaxation Time at Weak and Strong Coupling

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:35:46.233934Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 20ba0e80-d340-4837-971f-dff7728b15f4 · outbound

This paper cites an unresolved cited work.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:35:47.082223Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 589f7776-4871-4880-8933-32289e0095ab · outbound

This paper cites Dissipative ﬂuid dynamics in the 3 + 1 formalism.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Dissipative ﬂuid dynamics in the 3 + 1 formalism

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:35:46.745345Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0575c30a-3fdf-4119-856f-34f21132ae8f · outbound

This paper cites In this image, the black hole can be seen to be surrounded by a d isk-like luminous structure known as the accretion disk.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme In this image, the black hole can be seen to be surrounded by a d isk-like luminous structure known as the accretion disk

Reference 29

Resolution: verified exact; raw_fallback, observed 2026-08-14T11:35:46.654761Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e021778f-bc55-41ef-868a-4f5c91fa9695 · outbound

This paper cites 3+1 formulation of non-ideal hydrodynam ics.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme 3+1 formulation of non-ideal hydrodynam ics

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:35:46.764229Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 288a9f8c-519c-4f60-9715-0872fae27077 · outbound

This paper cites First M87 Event Horizon Te lescope Re- sults. I. The Shadow of the Supermassive Black Hole,.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme First M87 Event Horizon Te lescope Re- sults. I. The Shadow of the Supermassive Black Hole,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:35:46.726757Z

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Observation 8bec15a5-ee40-4244-9369-73135d42043b · outbound

This paper cites Shakura and R.A.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Shakura and R.A

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:35:46.709111Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a8f98610-fbd9-408f-9a13-2dda89dd50de · outbound

This paper cites Advection Dominated Accretion Flows in the Kerr Metric: I. Basic Equations.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Advection Dominated Accretion Flows in the Kerr Metric: I. Basic Equations

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-14T11:35:45.984227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 28da0093-c84f-496e-bd49-a05ed31b3ed7 · outbound

This paper cites A toy model of viscous relativistic geometrically thick disk in Schwarzschild geometry.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme A toy model of viscous relativistic geometrically thick disk in Schwarzschild geometry

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:35:46.186837Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 63979f14-eef5-44fa-bd9f-0e26279535cf · outbound

This paper cites an unresolved cited work.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:35:46.689546Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 342f84ea-1e1c-4b06-b909-5cdcbb92da61 · outbound

This paper cites an unresolved cited work.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:35:46.672024Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 85c9efc3-4429-4b5a-89af-5cbd08fa2524 · outbound

This paper cites Landau and Eckart frames for relativistic fluids in nuclear collisions.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Landau and Eckart frames for relativistic fluids in nuclear collisions

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:35:46.164034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7d736da2-882b-4aa8-b0ad-8f8cadf94ea4 · outbound

This paper cites Constraints on the second order transport coefficients of an uncharged fluid.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Constraints on the second order transport coefficients of an uncharged fluid

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-14T11:35:46.012334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fad1565d-3392-4e33-82b2-64ff9a3d4531 · outbound

This paper cites Ricci cosmology.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Ricci cosmology

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:35:46.125456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2671f111-ddb1-4f8c-a2a4-80e288a6bed0 · outbound

This paper cites Quark-Hadron Phase Transitions in Viscous Early Universe.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Quark-Hadron Phase Transitions in Viscous Early Universe

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:35:46.103776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b40fcf2e-a2b9-4831-84c3-65208b51db9b · outbound

This paper cites Viscous Quark-Gluon Plasma in the Early Universe.

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme Viscous Quark-Gluon Plasma in the Early Universe

Reference 41

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:35:46.078454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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